%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO093+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:27:10 PM UTC 2026
% Result : Theorem 3.18s 0.94s
% Output : CNFRefutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 48 ( 11 unt; 0 def)
% Number of atoms : 135 ( 23 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 129 ( 42 ~; 60 |; 19 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 100 ( 11 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sum_defn,axiom,
! [X1,X2,X4] :
( X1 = sum(X2,X4)
<=> ! [X5] :
( incident_c(X5,X1)
<=> ( incident_c(X5,X4)
| incident_c(X5,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
fof(proposition_2_14_2,conjecture,
! [X1,X2,X4,X3] :
( ( meet(X3,X2,X4)
& part_of(X4,X1)
& part_of(X2,X1)
& open(X1) )
=> open(sum(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_2) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(c1,axiom,
! [X1,X2] :
( ( X2 != X1
& part_of(X2,X1) )
=> open(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c1) ).
fof(c_0_4,plain,
! [X18,X19,X20,X21,X22,X23,X24,X25] :
( ( X23 = sum(X24,X25)
| incident_c(esk6_3(X23,X24,X25),X25)
| incident_c(esk6_3(X23,X24,X25),X24)
| incident_c(esk6_3(X23,X24,X25),X23) )
& ( X23 = sum(X24,X25)
| ~ incident_c(esk6_3(X23,X24,X25),X23)
| ~ incident_c(esk6_3(X23,X24,X25),X25) )
& ( X23 = sum(X24,X25)
| ~ incident_c(esk6_3(X23,X24,X25),X23)
| ~ incident_c(esk6_3(X23,X24,X25),X24) )
& ( X18 != sum(X19,X20)
| incident_c(X22,X18)
| ~ incident_c(X22,X20) )
& ( X18 != sum(X19,X20)
| incident_c(X22,X18)
| ~ incident_c(X22,X19) )
& ( X18 != sum(X19,X20)
| incident_c(X21,X20)
| incident_c(X21,X19)
| ~ incident_c(X21,X18) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_defn])])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X4,X3] :
( ( meet(X3,X2,X4)
& part_of(X4,X1)
& part_of(X2,X1)
& open(X1) )
=> open(sum(X2,X4)) ),
inference(assume_negation,[status(cth)],[proposition_2_14_2]) ).
fof(c_0_6,plain,
! [X39,X40,X41,X42,X43] :
( ( part_of(X43,X42)
| ~ incident_c(esk9_2(X42,X43),X42) )
& ( part_of(X43,X42)
| incident_c(esk9_2(X42,X43),X43) )
& ( incident_c(X41,X39)
| ~ incident_c(X41,X40)
| ~ part_of(X40,X39) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[part_of_defn])])])])])])]) ).
cnf(c_0_7,plain,
( X3 != sum(X4,X2)
| ~ incident_c(X1,X2)
| incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( ~ open(sum(esk2_0,esk3_0))
& meet(esk4_0,esk2_0,esk3_0)
& part_of(esk3_0,esk1_0)
& part_of(esk2_0,esk1_0)
& open(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_9,plain,
! [X1,X2] :
( ( X2 != X1
& part_of(X2,X1) )
=> open(X2) ),
inference(fof_simplification,[status(thm)],[c1]) ).
cnf(c_0_10,plain,
( ~ incident_c(esk9_2(X1,X2),X1)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( ~ incident_c(X1,X3)
| incident_c(X1,sum(X2,X3)) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
part_of(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X16,X17] :
( open(X17)
| X17 = X16
| ~ part_of(X17,X16) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_15,plain,
( ~ incident_c(esk9_2(sum(X2,X3),X1),X3)
| part_of(X1,sum(X2,X3)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( part_of(X2,X1)
| incident_c(esk9_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( ~ incident_c(X1,esk3_0)
| incident_c(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( ~ part_of(X1,X2)
| open(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
part_of(X1,sum(X2,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( part_of(esk3_0,X1)
| incident_c(esk9_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_21,plain,
( X1 = sum(X2,X3)
| incident_c(esk6_3(X1,X2,X3),X3)
| incident_c(esk6_3(X1,X2,X3),X2)
| incident_c(esk6_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,plain,
( X3 != sum(X2,X4)
| ~ incident_c(X1,X2)
| incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,negated_conjecture,
~ open(sum(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,plain,
( open(X2)
| sum(X1,X2) = X2 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
part_of(esk3_0,sum(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_26,plain,
( incident_c(esk6_3(X1,X1,X2),X1)
| incident_c(esk6_3(X1,X1,X2),X2)
| sum(X1,X2) = X1 ),
inference(ef,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( ~ incident_c(X1,X2)
| incident_c(X1,sum(X2,X3)) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
sum(X1,sum(esk2_0,esk3_0)) = sum(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( ~ incident_c(X1,esk3_0)
| incident_c(X1,sum(X2,esk1_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_30,plain,
( ~ incident_c(esk6_3(X1,X2,X3),X1)
| ~ incident_c(esk6_3(X1,X2,X3),X2)
| X1 = sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,plain,
( incident_c(esk6_3(X1,X1,X1),X1)
| sum(X1,X1) = X1 ),
inference(ef,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( X2 != sum(X3,X4)
| ~ incident_c(X1,X2)
| incident_c(X1,X4)
| incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_33,negated_conjecture,
( ~ incident_c(X1,X2)
| incident_c(X1,sum(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
part_of(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_35,negated_conjecture,
( ~ incident_c(esk9_2(sum(X2,esk1_0),X1),esk3_0)
| part_of(X1,sum(X2,esk1_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_29]) ).
cnf(c_0_36,plain,
sum(X1,X1) = X1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_31]) ).
cnf(c_0_37,plain,
( ~ incident_c(X1,sum(X3,X2))
| incident_c(X1,X3)
| incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( part_of(X2,X1)
| incident_c(esk9_2(X1,X2),sum(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_16]) ).
cnf(c_0_39,negated_conjecture,
( ~ incident_c(X1,esk2_0)
| incident_c(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( ~ incident_c(esk9_2(esk1_0,X1),esk3_0)
| part_of(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( part_of(X2,X1)
| incident_c(esk9_2(X1,X2),esk3_0)
| incident_c(esk9_2(X1,X2),esk2_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( ~ incident_c(esk9_2(esk1_0,X1),esk2_0)
| part_of(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
part_of(X1,esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_44,negated_conjecture,
( open(X1)
| X1 = esk1_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
sum(esk2_0,esk3_0) = esk1_0,
inference(spm,[status(thm)],[c_0_23,c_0_44]) ).
cnf(c_0_46,negated_conjecture,
open(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_45]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO093+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n004.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 20 10:41:51 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.45 Running first-order theorem proving
% 0.10/0.45 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.18/0.94 % Version: 3.5.1
% 3.18/0.94 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.18/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.18/0.94 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.18/0.94 % Starting new_bool_3 with 300s (1) cores
% 3.18/0.94 % Starting new_bool_1 with 300s (1) cores
% 3.18/0.94 % Starting sh5l with 300s (1) cores
% 3.18/0.94 % new_bool_1 with pid 660221 completed with status 0
% 3.18/0.94 % Result found by new_bool_1
% 3.18/0.94 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.18/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.18/0.94 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.18/0.94 % Starting new_bool_3 with 300s (1) cores
% 3.18/0.94 % Starting new_bool_1 with 300s (1) cores
% 3.18/0.94 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.18/0.94 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.18/0.94 % Search class: FGHSF-FFMS32-SFFFFFNN
% 3.18/0.94 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.18/0.94 % Starting SubtermCWHack with 31s (1) cores
% 3.18/0.94 % SubtermCWHack with pid 660224 completed with status 0
% 3.18/0.94 % Result found by SubtermCWHack
% 3.18/0.94 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.18/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.18/0.94 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.18/0.94 % Starting new_bool_3 with 300s (1) cores
% 3.18/0.94 % Starting new_bool_1 with 300s (1) cores
% 3.18/0.94 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.18/0.94 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.18/0.94 % Search class: FGHSF-FFMS32-SFFFFFNN
% 3.18/0.94 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.18/0.94 % Starting SubtermCWHack with 31s (1) cores
% 3.18/0.94 % Preprocessing time : 0.002 s
% 3.18/0.94
% 3.18/0.94 % Proof found!
% 3.18/0.94 % SZS status Theorem
% 3.18/0.94 % SZS output start CNFRefutation
% See solution above
% 3.18/0.94 % Parsed axioms : 17
% 3.18/0.94 % Removed by relevancy pruning/SinE : 5
% 3.18/0.94 % Initial clauses : 39
% 3.18/0.94 % Removed in clause preprocessing : 0
% 3.18/0.94 % Initial clauses in saturation : 39
% 3.18/0.94 % Processed clauses : 5669
% 3.18/0.94 % ...of these trivial : 10
% 3.18/0.94 % ...subsumed : 5112
% 3.18/0.94 % ...remaining for further processing : 547
% 3.18/0.94 % Other redundant clauses eliminated : 12
% 3.18/0.94 % Clauses deleted for lack of memory : 0
% 3.18/0.94 % Backward-subsumed : 25
% 3.18/0.94 % Backward-rewritten : 77
% 3.18/0.94 % Generated clauses : 33389
% 3.18/0.94 % ...of the previous two non-redundant : 29909
% 3.18/0.94 % ...aggressively subsumed : 0
% 3.18/0.94 % Contextual simplify-reflections : 23
% 3.18/0.94 % Paramodulations : 33215
% 3.18/0.94 % Factorizations : 162
% 3.18/0.94 % NegExts : 0
% 3.18/0.94 % Equation resolutions : 12
% 3.18/0.94 % Disequality decompositions : 0
% 3.18/0.94 % Total rewrite steps : 5507
% 3.18/0.94 % ...of those cached : 5335
% 3.18/0.94 % Propositional unsat checks : 0
% 3.18/0.94 % Propositional check models : 0
% 3.18/0.94 % Propositional check unsatisfiable : 0
% 3.18/0.94 % Propositional clauses : 0
% 3.18/0.94 % Propositional clauses after purity: 0
% 3.18/0.94 % Propositional unsat core size : 0
% 3.18/0.94 % Propositional preprocessing time : 0.000
% 3.18/0.94 % Propositional encoding time : 0.000
% 3.18/0.94 % Propositional solver time : 0.000
% 3.18/0.94 % Success case prop preproc time : 0.000
% 3.18/0.94 % Success case prop encoding time : 0.000
% 3.18/0.94 % Success case prop solver time : 0.000
% 3.18/0.94 % Current number of processed clauses : 442
% 3.18/0.94 % Positive orientable unit clauses : 39
% 3.18/0.94 % Positive unorientable unit clauses: 0
% 3.18/0.94 % Negative unit clauses : 0
% 3.18/0.94 % Non-unit-clauses : 403
% 3.18/0.94 % Current number of unprocessed clauses: 24001
% 3.18/0.94 % ...number of literals in the above : 124236
% 3.18/0.94 % Current number of archived formulas : 0
% 3.18/0.94 % Current number of archived clauses : 102
% 3.18/0.94 % Clause-clause subsumption calls (NU) : 100665
% 3.18/0.94 % Rec. Clause-clause subsumption calls : 37846
% 3.18/0.94 % Non-unit clause-clause subsumptions : 5140
% 3.18/0.94 % Unit Clause-clause subsumption calls : 1068
% 3.18/0.94 % Rewrite failures with RHS unbound : 0
% 3.18/0.94 % BW rewrite match attempts : 208
% 3.18/0.94 % BW rewrite match successes : 14
% 3.18/0.94 % Condensation attempts : 0
% 3.18/0.94 % Condensation successes : 0
% 3.18/0.94 % Termbank termtop insertions : 444379
% 3.18/0.94 % Search garbage collected termcells : 917
% 3.18/0.94
% 3.18/0.94 % -------------------------------------------------
% 3.18/0.94 % User time : 0.438 s
% 3.18/0.94 % System time : 0.024 s
% 3.18/0.94 % Total time : 0.462 s
% 3.18/0.94 % Maximum resident set size: 3608 pages
% 3.18/0.94
% 3.18/0.94 % -------------------------------------------------
% 3.18/0.94 % User time : 0.440 s
% 3.18/0.94 % System time : 0.029 s
% 3.18/0.94 % Total time : 0.469 s
% 3.18/0.94 % Maximum resident set size: 4864 pages
% 3.18/0.94 % E exiting
%------------------------------------------------------------------------------